关键词: 弧齿锥齿轮, 接触印痕, 传动误差, 泛变性, 局部综合, 轮齿接触分析, 切削速比, 三阶变性系数

Abstract: This article proposes a generally modified-roll (GMR) as an improved method of the traditional local synthesis for the optimization of the transmission error function of spiral bevel gears in comparison with the desired curve. It first discusses the formulas of determining the tooth contact pattern and the transmission error function, and then described the basic idea of GMR based on traditional local synthesis, and presents the formulas of local synthesis and tooth contact analysis (TCA) as the basic theory of GMR. The cutting ratio of the pinion and the third-order modified-roll coefficient are the two most sensitive parameters affecting the transmission performance of spiral bevel gears, especially their transmission error function, and the rule governing their variation is analyzed. Finally the transmission error function and contact pattern of a pair of spiral bevel gears in aviation are optimized by the GMR. The results show that the TCA transmission error function is very close to the desired curve when the cutting ratio and the third-order modified-roll coefficient are 0.621 9 and -0.021 99 respectively, and the contact pattern is steady when the two parameters have a fine turning around their reference values at the mean contact point. The conclusions above prove that the GMR is an effective and steady method for the improvement of transmission performance, which is of great significance to the study of gear transmission systems in aviation.

Key words: spiral bevel gears, contact pattern, transmission error, generally modified-roll, local synthesis, tooth contact analysis, cutting ratio, third-order modified-roll coefficient